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Mathematics
Mathematics
Problem
A particle moves along the
x
x
x
–axis with velocity
v
(
t
)
=
⟨
3
t
2
,
0
⟩
\mathbf v(t)=\langle 3t^{2},0\rangle
v
(
t
)
=
⟨
3
t
2
,
0
⟩
meters per second for
0
≤
t
≤
2
0\le t\le 2
0
≤
t
≤
2
. What is the particle’s average speed over this interval? a)
12
m/s
12\text{ m/s}
12
m/s
b)
4
m/s
4\text{ m/s}
4
m/s
c)
8
m/s
8\text{ m/s}
8
m/s
d)
6
m/s
6\text{ m/s}
6
m/s
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